Quantum dynamics of two $XX$ interacting PT-symmetric non-Hermitian qubits: enhancement of quantum annealingQuantum dynamics of two $XX$ interacting PT-symmetric non-Hermitian qubits: enhancement of quantum annealing

Yana Komissarova, Mikhail V. Fistul, Ilya M. Eremin

Quantum information platforms enable analog quantum simulations, such as quantum annealing, offering a promising route to solving complex combinatorial optimization problems. Here, we propose a quantum information architecture based on networks of interacting parity-time (PT)-symmetric non-Hermitian qubits. While the dynamics of individual PT-symmetric qubits have been experimentally demonstrated across multiple platforms including NV centers, superconducting circuits, and trapped-ion systems yet coherent dynamics in interacting systems remain largely unexplored. To address this issue we theoretically investigate stationary and time-dependent Hamiltonians relevant to quantum annealing using a minimal model of two interacting XX-coupled PT-symmetric non-Hermitian qubits. We analyze both symmetry-preserving and symmetry-broken regimes and demonstrate that adding even tiny PT-symmetric non-Hermitian terms in the qubits Hamiltonian allows to greatly enhance the probability of reaching the ground state after annealing.Quantum information platforms enable analog quantum simulations, such as quantum annealing, offering a promising route to solving complex combinatorial optimization problems. Here, we propose a quantum information architecture based on networks of interacting parity-time (PT)-symmetric non-Hermitian qubits. While the dynamics of individual PT-symmetric qubits have been experimentally demonstrated across multiple platforms including NV centers, superconducting circuits, and trapped-ion systems yet coherent dynamics in interacting systems remain largely unexplored. To address this issue we theoretically investigate stationary and time-dependent Hamiltonians relevant to quantum annealing using a minimal model of two interacting XX-coupled PT-symmetric non-Hermitian qubits. We analyze both symmetry-preserving and symmetry-broken regimes and demonstrate that adding even tiny PT-symmetric non-Hermitian terms in the qubits Hamiltonian allows to greatly enhance the probability of reaching the ground state after annealing.

quant-pharXiv:2605.13008May 14, 20260 citations

LOCALITY AND APPROXIMATION IN QUANTUM ANNEALING

Arthur Braida

Jun 7, 20220 citations

Non‐Hermitian Superradiance Lattices with Room‐Temperature Atoms

Ying Zhang, Lifeng Liu, Tianze Sheng +4 more

Abstract Composed of some collective excited states of an atomic ensemble, a superradiance lattice can be considered as an infinite tight‐binding model in momentum space. In this work, a non‐Hermitian superradiance lattice is realized by introducing state‐selective dissipation rates, using room‐temperature atoms. The steady‐state response of such a non‐Hermitian momentum lattice is studied with non‐Hermitian absorption spectroscopy both theoretically and experimentally. A pit‐to‐peak transition in the spectroscopy is observed when the introduced dissipation rates are tuned. Further, by accounting for the thermal motion of atoms, the Wannier Stark ladders and biorthogonal Berry phases are measured. This work hence realizes a quantum platform that can be highly useful for future experimental simulation of non‐Hermitian physics (e.g., non‐Hermitian topological lattice) with room‐temperature atoms.Abstract Composed of some collective excited states of an atomic ensemble, a superradiance lattice can be considered as an infinite tight‐binding model in momentum space. In this work, a non‐Hermitian superradiance lattice is realized by introducing state‐selective dissipation rates, using room‐temperature atoms. The steady‐state response of such a non‐Hermitian momentum lattice is studied with non‐Hermitian absorption spectroscopy both theoretically and experimentally. A pit‐to‐peak transition in the spectroscopy is observed when the introduced dissipation rates are tuned. Further, by accounting for the thermal motion of atoms, the Wannier Stark ladders and biorthogonal Berry phases are measured. This work hence realizes a quantum platform that can be highly useful for future experimental simulation of non‐Hermitian physics (e.g., non‐Hermitian topological lattice) with room‐temperature atoms.

Laser & Photonics ReviewSep 26, 20251 citation

Basics and Applications of Quantum Annealing

Shu Tanaka

Journal of Japan Society for Fuzzy Theory and Intelligent InformaticsFeb 15, 20180 citations

Optimization algorithms for Quantum Annealing

E. Arvidsson

Jan 1, 20200 citations

Quantum dynamics of two

XX

interacting PT-symmetric non-Hermitian qubits: enhancement of quantum annealing